F-Harmonic maps as global maxima
Mohammed Benalili Hafida Benallal
TL;DR
This paper demonstrates that certain F-harmonic maps into spheres serve as global maxima of their energy functional variations under conformal transformations, extending previous results for harmonic and p-harmonic maps.
Contribution
It extends existing results by showing F-harmonic maps are global maxima of energy variations on the conformal sphere group.
Findings
F-harmonic maps into spheres are global maxima of energy variations.
Extension of previous harmonic map results to F-harmonic maps.
Partial generalization of earlier harmonic and p-harmonic map theorems.
Abstract
In this note, we show that some F-harmonic maps into spheres are global maxima of the variations of their energy functional on the conformal group of the sphere. Our result extends partially those obtained in [15] and [17] for harmonic and p-harmonic maps.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Black Holes and Theoretical Physics